@a数论Ⅳ@Ashu lunⅣ@i超越数@d= Number Theory@hⅣ@iTranscendental Numbers@f(俄罗斯) 帕尔申(A.N.Pazshin), I.R.Shafareviehl[编著]@F(e luo si)pa er shen(A.N.Pazshin),I.R.Shafareviehl[bian zhu]@zeng
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@a责任者中文姓名取自版权页
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@aThis book is a survey of the most important directions of research intranscendental number theory. The central topics in this theory includeproofs of irrationality and transcendence of various numbers, especiallythose that arise as the values of special functions. Questions of this sortgo back to ancient times. An example is the old problern of squaring thecircle, which Lindemaan showed to be impossible in 1882, when he provedthat Pi is a transcendental mnnber. Euler's conjecture that the logarit!un ofan algebraic number to an algebraic base is transcendental was includedin Hilbert's famous list of open problems; this conjecture was proved byGel'fond and Schneider in 1934. A more recent result was Ap6ry's surprisingproof of the irrationality of～ (3) in 1979
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数论Ⅳ.超越数= Number Theory.Ⅳ.Transcendental Numbers/(俄罗斯) 帕尔申(A.N.Pazshin), I.R.Shafareviehl[编著].-影印版.-北京：科学出版社，2009.01
345页：图；25cm.-(国外数学名著系列(续一)(影印版)；65)
ISBN 978-7-03-023508-4：CNY80.00
This book is a survey of the most important directions of research intranscendental number theory. The central topics in this theory includeproofs of irrationality and transcendence of various numbers, especiallythose that arise as the values of special functions. Questions of this sortgo back to ancient times. An example is the old problern of squaring thecircle, which Lindemaan showed to be impossible in 1882, when he provedthat Pi is a transcendental mnnber. Euler's conjecture that the logarit!un ofan algebraic number to an algebraic base is transcendental was includedin Hilbert's famous list of open problems; this conjecture was proved byGel'fond and Schneider in 1934. A more recent result was Ap6ry's surprisingproof of the irrationality of～ (3) in 1979
